- #1
hyorinmaru
- 2
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Homework Statement
#1: Vector A has a length of 2.0 meters and lies at an angle of 30 degrees from the x-axis. Vector B has a length of 5.0 meters and lies at an angle of 120 degrees from the x-axis.
What is C=B-A (x and y components) and what is the magnitude of C?
#2: What are the solutions to the following equation:
x^2+7x-3=0
#3: How do you tell which direction an object accelerates when there are 3 different directions given?
#4:You are in charge of a large catapult which is attempting to hurl a large stone up to a castle 15 m above your current location. You set up the catapult a distance x from the edge of a cliff. You know that the stone will be launched with a speed of 40 m/s and at an angle of 45 degrees. At what distance x from the castle should you place the catapult for it to hit the castle on its downward trajectory?
#5: What forces act on a 50 kg block which is being pushed across a frictionless floor (from rest) with a constant force of 10 Newtons at an angle of 30 degrees from the horizontal? What is the order of the strengths and the directions? After being pushed for 10 seconds how fast will the box be travelling? How far will it have traveled?
#6: With what amount of force must a person pull on the vertical portion of a rope to make a 1000 kg refrigerator travel up a 45 degree rough (0.10) plane at constant speed? When the refrigerator just about reaches the top of the inclined plane the rope breaks. With what magnitude of acceleration does the refrigerator accelerate down the ramp?
Homework Equations
I'm not sure which acceleration formula to use...
The Attempt at a Solution
#1: 90 degrees, 3 meters
#2: x=-7+/- sqrt(61) over 2
#3: not sure
#4:
#5:
#6